Dynamic Localization of Interacting Particles in an Anharmonic Potential
arXiv:1212.2850 · doi:10.1103/PhysRevA.87.041603
Abstract
We investigate the effect of anharmonicity and interactions on the dynamics of an initially Gaussian wavepacket in a weakly anharmonic potential. We note that depending on the strength and sign of interactions and anharmonicity, the quantum state can be either localized or delocalized in the potential. We formulate a classical model of this phenomenon and compare it to quantum simulations done for a self consistent potential given by the Gross-Pitaevskii Equation.
5 Pages, 3 figures